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Question

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?


A

2:1

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B

3:2

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C

25:18

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D

27:20

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Solution

The correct option is C

25:18


Volume of the large cube = (33+43+53) cm3 = 216 cm3

Let the edge of the large cube be `a'

So, a3= 216 a = 6 cm

Required ratio = 6×(32+42+52)6×62=5036=25:18


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